Q2, W2: November 9th – 13th Advanced Math

TeacherFelicia Taylor
Subject AreaAdvanced Math
Grade Level7th
Week #11
Unit of InstructionFocus 2: Real Numbers
Standard(s) Taught

MAFS.8.NS.1.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., pi2).

MAFS.8.EE.1.2

Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Learning Targets and Learning Criteria

Students are successful when they can…

  • estimate the value of an irrational number by rounding to a specific place value.
  • locate irrational numbers approximately on a number line.
  • compare the size of two irrational numbers by using a number line.
  • use reasoning to determine between which two consecutive whole numbers a square root will fall on a number line.
  • recognize perfect squares and non-perfect squares and numbers that are perfect cubes.
  • recognize taking a square root of a number as the inverse of squaring that number and taking a cube root of a number as the inverse of cubing that number.
  • evaluate the square root of a perfect square and the cube root of a perfect cube.
  • justify that the square root of a non-perfect square will be irrational and that the cube root of a non-perfect cube will be irrational.
Classroom Activities

Monday (Innovative & 3rd Period) / Tuesday (5th Period)

  1. Work on unfinished assignments from last week until lunch (3rd & Innovative only)
  2. Instruction
    1. Intro to Square Roots – khan Academy
    2. Square Roots and Cube Roots from i-Ready (36 minutes)
  3. Assignments – IXL 8th Grade (due Friday, November 13th)
    1. D. – New!  Identify rational and irrational square roots
    2. F.15 – Square roots of perfect squares
    3. F.19 – Relationships between squares and square roots
    4. F.20 – Solve equations using square roots
    5. F.21 – Cube roots of positive perfect cubes
    6. F.23 – Solve equations using cube roots

Wednesday

Veterans Day Holiday

Thursday (Innovative & 3rd Period) / Friday (5th Period)

  1. Finish missing assignments until lunch (3rd & Innovative only)
  2. Instruction – Estimating and Comparing Square Roots
    1. Estimating and Comparing Square Roots Guided Notes
    2. Approximating Square Roots video from khan Academy
    3. Approximating Irrational Numbers Instruction from i-Ready
    4. Math Nation Examples
  3. Assignments (due Tuesday, November 17th)
    1. IXLs – 8th Grade
      1. F.16 – Estimate positive square roots
      2. F.24 – Estimate cube roots
    2. Edgenuity – Estimating and Comparing Square Roots
  4. Prodigy – Rational Approximations (not graded)
Assignments Due

Summatives

  1. Edgenuity – Exploring Real Numbers Quiz

Formatives

  1. IXL 8th Grade D.4 Convert between decimals and fractions or mixed numbers
  2. IXL 8th Grade D.5 Identify rational and irrational numbers
  3. i-Ready Teacher Assigned Lesson – Rational and Irrational Numbers Quiz
  4. IXL 8th Grade D. – New!  Identify rational and irrational square roots
  5. IXL 8th Grade F.15 – Square roots of perfect squares
  6. IXL 8th Grade F.19 – Relationships between squares and square roots
  7. IXL 8th Grade F.20 – Solve equations using square roots
  8. IXL 8th Grade F.21 – Cube roots of positive perfect cubes
  9. IXL 8th Grade F.23 – Solve equations using cube roots
Additional Resources

All IEP accommodations will be provided each period.